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Simultaneous dual integral equations

Published online by Cambridge University Press:  18 May 2009

J. S. Lowndes
J. S. Lowndes
Affiliation:
University of Strathclyde, Glasgow
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Lowengrub [l] has considered simultaneous dual integral equations of the form

where i = 1,2 …n, I1= {x:0 ≦ x x <1}, I2 {= x:0 ≦ x >1}, the cIJ are constants, the f1(x) are known functions and the functions φ(x) are to be determined.

denotes the modified operator of the Hankel transform with the inversion formula

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 14 , Issue 1 , February 1973 , pp. 73 - 76
Copyright
Copyright © Glasgow Mathematical Journal Trust 1973

References

REFERENCES

1.Lowengrub, M., The solution of certain simultaneous pairs of dual integral equations, Glasgow Math. J. 9 (1968), 92–102.CrossRefGoogle Scholar
2.Sneddon, I. N., Mixed boundary value problems in potential theory (Amsterdam, 1966).Google Scholar
3.Sneddon, I. N. and Lowengrub, M., Crack problems in the classical theory of elasticity (New York, 1969).Google Scholar